A study on fuzzy Volterra integral equations for S-correlated fuzzy processes on time scales

Author(s)

Shahidi, M. ; Esmi, E. ; Barros, L. C.

• Document type: Journal article
• Source: FUZZY SETS AND SYSTEMS; v. 471, p. 24-pg., 2023-09-04.

Abstract

In the paper, we propose a new notion of differentiability and integrability for S-correlated fuzzy processes on time scales and highlight some of their properties. With these concepts, we investigate fuzzy Volterra integral equations for S-correlated fuzzy processes on time scales. Also, we present a connection between fuzzy Volterra integral equations and fuzzy initial value problems for S-correlated fuzzy processes on time scales. In particular, we establish a fuzzy Adomian decomposition method to solve fuzzy Volterra integral equations with fuzzy kernel on time scales. Some illustrative examples are given. & COPY; 2023 Elsevier B.V. All rights reserved. (AU)

• FAPESP's process: 22/00196-1 - Fuzzy differential equations with interactive derivatives on time scales
• Grantee: Mina Shahidi
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• FAPESP's process: 20/09838-0 - BI0S - Brazilian Institute of Data Science
• Grantee: João Marcos Travassos Romano
• Support Opportunities: Research Grants - Research Centers in Engineering Program